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satela [25.4K]
3 years ago
13

A bag contains 10 counters six of them are white account was taken at random and not replaced second kind was taken out of the b

ag at random calculate the probability that only one of the two counters is white
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0

Correct question is;

A bag contains 10 counters. 6 of them are white. A counter is taken at random and not replaced. A second counter is taken out of the bag at random. Calculate the probability that only one of the two counters are white

Answer:

probability that only one of the two counters is white = 8/15

Step-by-step explanation:

To solve this question, first of all, let's look at probability we would have to either draw two white counters or two non-white counters (4/10 * 3/9).

Probability(draw 2 white counters) = (6/10 × 5/9) = 30/90 = 1/3

Probability(draw 2 non-white counters) = (4/10 × 3/9) = 2/15

Now, In all other cases, we'll draw exactly one white and one non-white counter, so the odds of this would be;

P(one white counter and one non-white counter) = 1 - [1/3 + 2/15)

= 1 - 7/15 = 8/15

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